Details

sample67.0ms

Algorithm

intervals

Results

30.0ms

261×

body

valid

simplify4.6s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	33
1	41	33
2	88	33
3	254	33
4	623	33
5	1355	33
6	1672	33
7	1766	33
8	2056	33
9	2982	33
done	5001	33

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.9b

localize52.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.1b	(* (+ (* (+ y a) y) b) y)
0.1b	(* (+ (* x y) z) y)
31.1b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite416.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
18×	`add-cube-cbrt` `*-un-lft-identity`
12×	`add-exp-log` `add-cbrt-cube`
10×	`pow1`
9×	`times-frac` `associate-r` `associate-l`
6×	`associate-*l/`
5×	`flip3-+` `flip-+`
4×	`add-log-exp`
3×	`pow-prod-down` `prod-exp` `associate-/r` `-commutative` `cbrt-unprod` `associate-/l*` `unswap-sqr`
2×	`associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`

Counts

4 → 91

Calls

4 calls:

88.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
70.0ms	(* (+ (* (+ y a) y) b) y)
44.0ms	(* (+ (* x y) z) y)
209.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series618.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
40.0ms	(* (+ (* (+ y a) y) b) y)
37.0ms	(* (+ (* x y) z) y)
483.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify1.1s

Counts

103 → 103

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	193	2457
1	508	2417
2	1855	2183
done	5000	2179

prune730.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 30.8b

localize71.0ms

Local error

Found 4 expressions with local error:

22.6b	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
22.6b	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
22.6b	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
31.1b	(/ (+ (* (+ (* (* (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y)) (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))) (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite577.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
6×	`add-exp-log` `cbrt-div` `associate-*l/` `add-cbrt-cube`
5×	`flip3-+` `flip-+`
4×	`pow1` `add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-/r` `associate-/l`
2×	`associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`

Counts

4 → 64

Calls

4 calls:

23.0ms	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
25.0ms	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
32.0ms	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
495.0ms	(/ (+ (* (+ (* (* (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y)) (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))) (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series1.5s

Counts

4 → 12

Calls

4 calls:

277.0ms	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
303.0ms	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
264.0ms	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
694.0ms	(/ (+ (* (+ (* (* (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y)) (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))) (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify2.7s

Counts

76 → 76

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	167	3716
1	403	3693
2	1148	2370
3	4372	2176
done	5001	2128

prune747.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 30.8b

localize56.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.1b	(* (+ (* x y) z) y)
0.4b	(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
30.7b	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

rewrite559.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
24×	`add-cube-cbrt`
21×	`add-exp-log` `associate-r`
20×	`times-frac`
15×	`add-cbrt-cube`
11×	`pow1`
9×	`associate-l`
6×	`flip3-+` `associate-*l/` `prod-exp` `flip-+`
5×	`unswap-sqr`
4×	`div-exp` `associate-/r/` `cbrt-unprod` `add-log-exp`
3×	`pow-prod-down` `associate-/r` `-commutative` `associate-/l*`
2×	`cbrt-undiv` `frac-times` `rec-exp` `1-exp` `div-inv`
1×	`pow-flip` `frac-2neg` `associate-*r/` `clear-num` `un-div-inv` `inv-pow`

Counts

4 → 115

Calls

4 calls:

97.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
27.0ms	(* (+ (* x y) z) y)
89.0ms	(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
337.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

series749.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
62.0ms	(* (+ (* x y) z) y)
69.0ms	(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
518.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

simplify1.5s

Counts

127 → 127

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	205	3359
1	542	3185
2	1912	2843
done	5000	2839

prune860.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 30.8b

localize56.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ y a) y) b) y)
0.1b	(* (+ (* x y) z) y)
0.2b	(/ 1 (/ (+ i (* (+ (* (+ (* (+ y a) y) b) y) c) y)) (+ t (* (+ 230661.510616 (* (+ (* (+ (* x y) z) y) 27464.7644705) y)) y))))
31.1b	(/ (+ i (* (+ (* (+ (* (+ y a) y) b) y) c) y)) (+ t (* (+ 230661.510616 (* (+ (* (+ (* x y) z) y) 27464.7644705) y)) y)))

rewrite195.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
64×	`add-sqr-sqrt`
60×	`add-cube-cbrt` `*-un-lft-identity`
21×	`add-exp-log`
18×	`associate-/r*`
15×	`add-cbrt-cube`
11×	`associate-/r/`
9×	`pow1`
8×	`flip3-+` `div-exp` `flip-+`
6×	`associate-r` `associate-l` `div-inv` `associate-/l*`
4×	`cbrt-undiv` `associate-*l/` `add-log-exp`
2×	`rec-exp` `frac-2neg` `1-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `associate-/l/` `unswap-sqr`
1×	`pow-flip` `inv-pow`

Counts

4 → 155

Calls

4 calls:

79.0ms	(* (+ (* (+ y a) y) b) y)
26.0ms	(* (+ (* x y) z) y)
31.0ms	(/ 1 (/ (+ i (* (+ (* (+ (* (+ y a) y) b) y) c) y)) (+ t (* (+ 230661.510616 (* (+ (* (+ (* x y) z) y) 27464.7644705) y)) y))))
49.0ms	(/ (+ i (* (+ (* (+ (* (+ y a) y) b) y) c) y)) (+ t (* (+ 230661.510616 (* (+ (* (+ (* x y) z) y) 27464.7644705) y)) y)))

series1.8m

Counts

4 → 12

Calls

4 calls:

65.0ms	(* (+ (* (+ y a) y) b) y)
41.0ms	(* (+ (* x y) z) y)
1.7m	(/ 1 (/ (+ i (* (+ (* (+ (* (+ y a) y) b) y) c) y)) (+ t (* (+ 230661.510616 (* (+ (* (+ (* x y) z) y) 27464.7644705) y)) y))))
1.0s	(/ (+ i (* (+ (* (+ (* (+ y a) y) b) y) c) y)) (+ t (* (+ 230661.510616 (* (+ (* (+ (* x y) z) y) 27464.7644705) y)) y)))

simplify1.5s

Counts

167 → 167

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	274	7094
1	668	6794
2	2067	6277
done	5000	6251

prune924.0ms

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 30.8b

regimes1.1s

Accuracy

0% (1.1b remaining)

Error of 28.9b against oracle of 27.8b and baseline of 28.9b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	28	35
1	46	35
done	46	35

end0.0ms

sample2.8s

Algorithm

intervals

Results

2.0s

8261×

body

valid